CAT 1996 Question Paper

Total investment in 1996 = 3489.5 + 8352 = 11841.5
Total investment in 1995 = 7081.6 + 2923.1 = 10004.7
change = 1836.8
%change = $$\frac{1836.8}{10004.7} \times 100 $$
As we can see with apprximation method that above value will be less than 20 and more than 18
Hence most appropriate answer will be D) = 18

Total investment in year $$1995 = 7081.6 + 2923.1 = 10004.7$$
Total electricity and thermal invesment in year 1995 for both villages = $$815.2 + 632.4 + 2065.8 + 1232.7 = 4726.1$$
Percentage investment = $$\frac{4726.1}{10004.7} \times 100$$ 
Through approximation method, we can say that above value will be less than 50 and more than 47
Hence among all options, B will be most appropriate answer.
 

In Electricity, the increase in investment is 300, which is less that 15%.

In Chemical, the increase is 241.1, which is greater than 32%.

In Thermal, there was a decrease in investment.

In Solar, the increase is 428.6, which is less than 32%.

In Nuclear, the increase in investment is 507.8, which is less than 31%.

Hence, the investment is the highest in chemical core area.

Total investment in chittoor = 2923.1 + 3489.5 = 6412.6
Total investment in khammam = 7081.6 + 8352 = 15433.6
Ratio = $$15433.6 \div 6412.6 = 2.4$$ (nearly)

Increase in 1996 compared to 1995 for khammam = 8352 - 7081.6 = 1270.4
With approximation method, we can say that %increase is above 17 and lower than 18.
Hence for 1997 investment will be have an increment of 18% nearly
So in 1997, investment = $$8352 (1+ \frac{18}{100}) = 9855$$ crore (nearly) 

As it is given that profit = sales - cost

So profit for september = $$\frac{3}{36} \times 100$$ = 8% (Nearly)

profit for march = $$\frac{3}{30} \times 100$$ = 10% (nearly)

profit for july = $$\frac{2}{35} \times 100$$ < 10%

profit for may = $$\frac{2}{36} \times 100$$ <10%

So highest percentage profit is for march month.

In the diagram, we can see the sudden increase in MAY, and there was no such increase again during the given period.

Hence, May is the answer.

This percentage is maximum in May which is equal to $$\frac{36-32}{32} = 1/8$$/

The profit per employee will be hishest when the ratio of profit to the number of employees is the highest. It happens in march and the value is $$\frac{33-30}{12} = \frac{1}{4}$$

We can see that the end value is a little more than 15000 but not more than 16000.

So the increase in number of employees is between 5000 to 6000.

According to the options, it is 5800.